Concave Mirror Homework - Find Object Dist.

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A concave mirror with a focal length of 20 cm forms an image three times the height of the object, prompting a discussion on calculating the object's distance from the mirror for both real and virtual images. The relevant equations include the mirror formula (1/u + 1/v = 1/f) and the magnification formula (m = v/u). Participants emphasize the importance of determining the magnification value, which is confirmed to be 3. The discussion revolves around using these equations to derive the correct values for object distance (u) and image distance (v). Ultimately, the focus is on applying the formulas correctly to solve the homework problem.
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Homework Statement


A concave mirror of focal length 20cm forms an image which is three times the height of the object. Find the distance of the object from the mirror if: 1: The image is real
2: The image is virtual

Homework Equations


1/u + 1/v = 1/f
m = v/u

The Attempt at a Solution


f = 20cm
u = ?
v = ?
 
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The magnification tells you the ratio v/u, though it could be either positive or negative.
 
Redbelly98 said:
Welcome to Physics Forums.

The magnification tells you the ratio v/u, though it could be either positive or negative.

Sorry, but I still don't understand :confused:
 
Okay, think about it this way: based on the given information, we can say that
v = ____ × u
where you must fill in the blank with a number.
 
Is the object <answer deleted by moderator> away?
 
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I have the answers on the back of the book but can't figure out how to get it
 
And I will try one more hint. You wrote this equation earlier:
Boxter said:
m = v/u
What is the value of the magnification m, based on the information given in the problem statement?
 
Redbelly98 said:
And I will try one more hint. You wrote this equation earlier:

What is the value of the magnification m, based on the information given in the problem statement?

Magnification is 3 ??
 
If I divide 3 into 20 I get 6.666667. If I add 6.6667 to 20, is that how I get the real height, then take 6.66667 from 20 to get virtual height?
 
  • #10
Boxter said:
If I divide 3 into 20 I get 6.666667. If I add 6.6667 to 20, is that how I get the real height, then take 6.66667 from 20 to get virtual height?
Uh, I don't think so. You get the answer by working with the two equations you wrote earlier.
Boxter said:
Magnification is 3 ??
Yes, good. So your two equations your wrote in Post #1 become:

1/u + 1/v = 1/f
___ = v/u​

(Fill in the blank to get the complete equation.)
 
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